Given the following, solve for a and b:
a^b + b^a = (ab)^2 + 1
"Pure mathematics is, in its way, the poetry of logical ideas."
Need some constraints on those variables, else a,b = 1
In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.